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Simplifying 4x + -2 + -1(2 + -7x) = 2x + -8(2 + -1x) + 1 4x + -2 + (2 * -1 + -7x * -1) = 2x + -8(2 + -1x) + 1 4x + -2 + (-2 + 7x) = 2x + -8(2 + -1x) + 1 Reorder the terms: -2 + -2 + 4x + 7x = 2x + -8(2 + -1x) + 1 Combine like terms: -2 + -2 = -4 -4 + 4x + 7x = 2x + -8(2 + -1x) + 1 Combine like terms: 4x + 7x = 11x -4 + 11x = 2x + -8(2 + -1x) + 1 -4 + 11x = 2x + (2 * -8 + -1x * -8) + 1 -4 + 11x = 2x + (-16 + 8x) + 1 Reorder the terms: -4 + 11x = -16 + 1 + 2x + 8x Combine like terms: -16 + 1 = -15 -4 + 11x = -15 + 2x + 8x Combine like terms: 2x + 8x = 10x -4 + 11x = -15 + 10x Solving -4 + 11x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 11x + -10x = -15 + 10x + -10x Combine like terms: 11x + -10x = 1x -4 + 1x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 1x = -15 + 0 -4 + 1x = -15 Add '4' to each side of the equation. -4 + 4 + 1x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -15 + 4 1x = -15 + 4 Combine like terms: -15 + 4 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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